| Full text | |
| Author(s): |
Podvigina, O.
;
Zheligovsky, V.
;
Rempel, E. L.
;
Chian, A. C. -L.
;
Chertovskih, R.
;
Munoz, P. R.
Total Authors: 6
|
| Document type: | Journal article |
| Source: | Physical Review E; v. 92, n. 3, p. 14-pg., 2015-09-14. |
| Abstract | |
We perform a two-parameter bifurcation study of the driven-damped regularized long-wave equation by varying the amplitude and phase of the driver. Increasing the amplitude of the driver brings the system to the regime of spatiotemporal chaos (STC), a chaotic state with a large number of degrees of freedom. Several global bifurcations are found, including codimension-two bifurcations and homoclinic bifurcations involving three-tori and the manifolds of steady waves, leading to the formation of chaotic saddles in the phase space. We identify four distinct routes to STC; they depend on the phase of the driver and involve boundary and interior crises, intermittency, the Ruelle-Takens scenario, the Feigenbaum cascade, an embedded saddle-node, homoclinic, and other bifurcations. This study elucidates some of the recently reported dynamical phenomena. (AU) | |
| FAPESP's process: | 12/22285-4 - Transition to spatio-temporal chaos in the regularized long-wave equation |
| Grantee: | Erico Luiz Rempel |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 12/22243-0 - Magnetic dynamos driven by turbulent flows |
| Grantee: | Erico Luiz Rempel |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 13/01242-8 - Generation of large-scale magnetic field by Rayleigh-Bénard convection |
| Grantee: | Roman Chertovskikh |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 13/22314-7 - Magnetic fields and dynamos in space and astrophysical plasmas II |
| Grantee: | Erico Luiz Rempel |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 11/10466-1 - Turbulence and coherent structures in astrophysical plasmas |
| Grantee: | Pablo Rubén Muñoz Gutberlet |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |